Question:
One angle of a quadrilateral is of 108° and the remaining three angles are equal. Find each of the three equal angles.
Thinking Process
The sum of all the angles In a quadrilateral is 360°, use this result and simplify it.
Solution:
Let each of the three equal angles be x°.
Now, sum of angles of a quadrilateral = 360°
=> 108° + x° + x° + x° = 360° => 3x° = 360° – 108°
x° = 252°/3
=> x° = 84°
∴ x° = 84°
Hence, each of the three equal angles is 84°.